SOLUTION: find two consecutive integers such that the reciprocal of the Lesser increased by three times the reciprocal of the greater is equal to 9 times the reciprocal of the product of the

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Question 1053319: find two consecutive integers such that the reciprocal of the Lesser increased by three times the reciprocal of the greater is equal to 9 times the reciprocal of the product of the integers
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This is a problem requiring literal analysis of the description.

The integers:
system%28n%2Cn%2B1%29

The description:
1%2Fn%2B3%281%2F%28n%2B1%29%29=9%281%2Fn%29%281%2F%28n%2B1%29%29

The rest is algebra or arithmetic.

1%2Fn%2B3%2F%28n%2B1%29=9%2F%28n%28n%2B1%29%29

%28n%28n%2B1%29%29%281%2Fn%29%2B%28n%28n%2B1%29%29%283%2F%28n%2B1%29%29=9
n%2B1%2B3n=9
4n=8
highlight%28n=2%29, and the next integer is highlight%28n%2B1=3%29.